I use a code from "Numerical Recipes in C book" to generate a uniform random number which is named as function float ran1(long *idum)
. It produces a uniform random number between 0 and 1
. I am trying to bin these uniform random numbers and make a histogram. I wrote the below code, however when I plot the bins versus the frequency, I do not get the uniform distribution.
Can someone help me know what the problem is?
#include<stdio.h>
#include<math.h>
#include<stdlib.h>
#define IA 16807
#define IM 2147483647
#define AM (1.0/IM)
#define IQ 127773
#define IR 2836
#define NTAB 32
#define NDIV (1+(IM-1)/NTAB)
#define EPS 1.2e-7
#define RNMX (1.0-EPS)
float ran1(long *idum);
int main(){
double delta, x;
int i , ibin ;
long idum ;
int histog[500] ;
delta=0.02 ;
idum=-1 ;// necessary to generate the uniform random number, must be negative integer
FILE *file1;
file1=fopen("guassians.dat","w") ;
for (i=0 ; i<=10000 ; ++i) {
x=ran1(&idum) ; // here ran1(&idum) returns a uniform random number
ibin=round(x/delta);
if ( abs(ibin) < 250 ) {
histog[ibin]=histog[ibin] + 1 ;
}
}
for (ibin=-250 ; ibin <= 250 ; ++ibin){
fprintf(file1, "%0.10lf \t %d \n", ibin*delta , histog[ibin]);
}
fclose(file1);
}
float ran1(long *idum){
int j ;
long k;
static long iy=0;
static long iv[NTAB];
float temp ;
if (*idum <= 0 || !iy) {
if (-(*idum) < 1) *idum=1 ;
else *idum = -(*idum) ;
for (j=NTAB+7 ; j>=0 ; j--) {
k=(*idum)/IQ ;
*idum=IA*(*idum-k*IQ)-IR*k ;
if (*idum < 0) *idum += IM;
if (j < NTAB) iv[j] = *idum;
}
iy=iv[0] ;
}
k=(*idum)/IQ ;
*idum=IA*(*idum-k*IQ)-IR*k ;
if (*idum < 0) *idum += IM ;
j=iy/NDIV ;
iy=iv[j] ;
iv[j] = *idum ;
if ((temp=AM*iy) > RNMX) return RNMX ;
else return temp;
}
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